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A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×10^3 N/C and points radially inwards. The net charge on the sphere is {a} -4.5×10^-9 C {b} 4.5×10^9 C {c} -5.3×10^-9 C {d} 5.3×10^9 C?
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A conducting sphere of radius 20 cm has unknown charge. If the electri...
Solution:
Given,
Radius of the conducting sphere, r = 20 cm
Electric field at a distance of 40 cm from the center of the sphere, E = 1.2×10^3 N/C
Electric field points radially inwards.
To find the net charge on the sphere.
## Approach:
- Use Gauss's law to find the electric field due to a charged sphere.
- Equate the electric field obtained from Gauss's law with the given electric field to find the net charge on the sphere.
## Calculation:
1. Electric field due to a charged sphere is given by Gauss's law.
E = q / (4πε₀r²)
where, q is the net charge on the sphere and ε₀ is the permittivity of free space.
2. Substituting the given values, we get,
1.2×10^3 N/C = q / (4πε₀(0.4)²)
3. Solving for q, we get,
q = 5.3×10^-9 C (Option d)
Therefore, the net charge on the sphere is 5.3×10^9 C.
## Explanation:
- Gauss's law relates the electric field due to a charged object with the net charge on the object.
- We can use this law to find the net charge on the conducting sphere.
- The electric field due to a charged sphere decreases with the square of the distance from the center of the sphere.
- At a distance of 40 cm from the center of the sphere, the electric field is given and we can use that to find the net charge on the sphere.
- Substituting the given values in Gauss's law and solving for the net charge, we get the answer.
Given,
Radius of the conducting sphere, r = 20 cm
Electric field at a distance of 40 cm from the center of the sphere, E = 1.2×10^3 N/C
Electric field points radially inwards.
To find the net charge on the sphere.
## Approach:
- Use Gauss's law to find the electric field due to a charged sphere.
- Equate the electric field obtained from Gauss's law with the given electric field to find the net charge on the sphere.
## Calculation:
1. Electric field due to a charged sphere is given by Gauss's law.
E = q / (4πε₀r²)
where, q is the net charge on the sphere and ε₀ is the permittivity of free space.
2. Substituting the given values, we get,
1.2×10^3 N/C = q / (4πε₀(0.4)²)
3. Solving for q, we get,
q = 5.3×10^-9 C (Option d)
Therefore, the net charge on the sphere is 5.3×10^9 C.
## Explanation:
- Gauss's law relates the electric field due to a charged object with the net charge on the object.
- We can use this law to find the net charge on the conducting sphere.
- The electric field due to a charged sphere decreases with the square of the distance from the center of the sphere.
- At a distance of 40 cm from the center of the sphere, the electric field is given and we can use that to find the net charge on the sphere.
- Substituting the given values in Gauss's law and solving for the net charge, we get the answer.
Community Answer
A conducting sphere of radius 20 cm has unknown charge. If the electri...
_5.3*10"_9C
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A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×10^3 N/C and points radially inwards. The net charge on the sphere is {a} -4.5×10^-9 C {b} 4.5×10^9 C {c} -5.3×10^-9 C {d} 5.3×10^9 C?
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A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×10^3 N/C and points radially inwards. The net charge on the sphere is {a} -4.5×10^-9 C {b} 4.5×10^9 C {c} -5.3×10^-9 C {d} 5.3×10^9 C? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×10^3 N/C and points radially inwards. The net charge on the sphere is {a} -4.5×10^-9 C {b} 4.5×10^9 C {c} -5.3×10^-9 C {d} 5.3×10^9 C? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×10^3 N/C and points radially inwards. The net charge on the sphere is {a} -4.5×10^-9 C {b} 4.5×10^9 C {c} -5.3×10^-9 C {d} 5.3×10^9 C?.
A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×10^3 N/C and points radially inwards. The net charge on the sphere is {a} -4.5×10^-9 C {b} 4.5×10^9 C {c} -5.3×10^-9 C {d} 5.3×10^9 C? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×10^3 N/C and points radially inwards. The net charge on the sphere is {a} -4.5×10^-9 C {b} 4.5×10^9 C {c} -5.3×10^-9 C {d} 5.3×10^9 C? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A conducting sphere of radius 20 cm has unknown charge. If the electric field at a distance 40 cm from the centre of the sphere is 1.2×10^3 N/C and points radially inwards. The net charge on the sphere is {a} -4.5×10^-9 C {b} 4.5×10^9 C {c} -5.3×10^-9 C {d} 5.3×10^9 C?.
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